21. |
How many three-digit numbers are divisible by 6 in all? |
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A. 149 |
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B. 150 |
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C. 151 |
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D. 166 |
Solution |
Required numbers are 102,018,114,....996. |
This is an A.P with a = 102, d= 6. |
Let the number of its terms be n. Then | a+(n - 1)d |
‹=›102+(n - 1)×6 = 996 |
‹=›n=150. |
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22. |
If A and b are both odd numbers which of the following is an even number? |
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A. a+b |
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B. a+b+1 |
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C. ab |
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D. ab+2 |
Solution |
Sum of two odd numbers is always even. |
|
Solution |
Product of two numbers is always odd. |
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24. |
325325 is a six digit number.It is divisible by |
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A. 7 only |
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B. 11 only |
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C. 13 only |
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D. all 7,11,and 13 |
Solution |
Clearly,325325 is divisible by all 7,11,and 13. |
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25. |
The largest natural number which exactly divides the product of any four consecutive natural numbers is |
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A. 6 |
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B. 12 |
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C. 24 |
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D. 120 |
Solution |
Required numbers | = 1×2×3×4 |
‹=›24. |
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